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20379372 = 223133773
BaseRepresentation
bin100110110111…
…1011011101100
31102100101020120
41031233123230
520204114442
62004444540
7335136036
oct115573354
942311216
1020379372
111055a362
1269a9750
1342b7000
1429c6c56
151bc84ec
hex136f6ec

20379372 has 48 divisors (see below), whose sum is σ = 51579360. Its totient is φ = 6262464.

The previous prime is 20379371. The next prime is 20379389. The reversal of 20379372 is 27397302.

It is a super-2 number, since 2×203793722 = 830637606228768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20379371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25978 + ... + 26750.

It is an arithmetic number, because the mean of its divisors is an integer number (1074570).

Almost surely, 220379372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20379372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25789680).

20379372 is an abundant number, since it is smaller than the sum of its proper divisors (31199988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20379372 is a wasteful number, since it uses less digits than its factorization.

20379372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 20379372 is about 4514.3517807101. The cubic root of 20379372 is about 273.1473127849.

The spelling of 20379372 in words is "twenty million, three hundred seventy-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 773 1014 1546 2028 2197 2319 3092 4394 4638 6591 8788 9276 10049 13182 20098 26364 30147 40196 60294 120588 130637 261274 391911 522548 783822 1567644 1698281 3396562 5094843 6793124 10189686 20379372